库埃特流的边界驱动不稳定性

IF 2.6 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-08-01 DOI:10.1007/s00220-025-05401-7

Dongfen Bian, Emmanuel Grenier, Nader Masmoudi, Weiren Zhao

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引用次数: 0

摘要

在本文中，我们证明了在\(H^s\)中，大s的经典Couette流的不稳定阈值为\(\nu ^{1/2}\)。不稳定性完全是由边界驱动的。流动的动态产生了宽度为\(\nu ^{1/2}\)的普朗特型边界层，其本身是线性不稳定的。这导致了次级不稳定性，而次级不稳定性又产生了子层。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Boundary Driven Instabilities of Couette Flows

In this article, we prove that the threshold of instability of the classical Couette flow in \(H^s\) for large s is \(\nu ^{1/2}\). The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of width \(\nu ^{1/2}\) which is itself linearly unstable. This leads to a secondary instability which in turn creates a sub-layer.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.